BCSSTRUC1: BCS Structural Engineering Matrices (eigenvalue matrices)
Set BCSSTRUC1
Source:
John Lewis, Boeing Computer Services, Seattle, Washington, USA
Discipline:
Dynamic analyses in structural engineering
Accession:
Summer 1982
These matrices all represent dynamic analyses in structural engineering. They have been extracted from various structural engineering packages such as GT-STRUDL, MSC/NASTRAN, and BCS ATLAS. All of these matrices come in pairs. The first matrix, K, is the stiffness matrix while the second, M, is the mass matrix for the dynamic modeling of structures. Structural engineering requires the computations of a few modes, usually the lowest, of the generalized eigenvalue problem. Most of the matrices were extracted in the years 1980 to 1982.
Some of the collected problems demonstrate the effect of standard structural engineering techniques such as static condensation and lumped mass formulations.
Matrices in this set:
BCSSTK01 (real symmetric positive definite, 48 by 48, 224 entries), Small test problem
BCSSTK02 (real symmetric positive definite, 66 by 66, 2211 entries), Oil rig -- statically condensed
BCSSTK03 (real symmetric positive definite, 112 by 112, 376 entries), Small test structure
BCSSTK04 (real symmetric positive definite, 132 by 132, 1890 entries), Oil rig -- not condensed
BCSSTK05 (real symmetric positive definite, 153 by 153, 1288 entries), Transmission tower
BCSSTK06 (real symmetric positive definite, 420 by 420, 4140 entries), Medium test problem -- lumped mass
BCSSTK07 (real symmetric positive definite, 420 by 420, 4140 entries), Medium test problem -- consistent mass
BCSSTK08 (real symmetric positive definite, 1074 by 1074, 7017 entries), TV studio
BCSSTK09 (real symmetric positive definite, 1083 by 1083, 9760 entries), Square plate clamped
BCSSTK10 (real symmetric positive definite, 1086 by 1086, 11578 entries), Buckling of a hot washer
BCSSTK11 (real symmetric positive definite, 1473 by 1473, 17857 entries), Ore car -- lumped mass
BCSSTK12 (real symmetric positive definite, 1473 by 1473, 17857 entries), Ore car -- consistent mass
BCSSTK13 (real symmetric positive definite, 2003 by 2003, 42943 entries), Fluid flow generalized eigenvalues
BCSSTM01 (real symmetric positive semi-definite, 48 by 48, 48 entries), Small test problem
BCSSTM02 (real symmetric positive definite, 66 by 66, 66 entries), Oil rig -- statically condensed
BCSSTM03 (real symmetric positive semi-definite, 112 by 112, 112 entries), Small test structure
BCSSTM04 (real symmetric positive semi-definite, 132 by 132, 132 entries), Oil rig -- not condensed
BCSSTM05 (real symmetric positive semi-definite, 153 by 153, 153 entries), Transmission tower
BCSSTM06 (real symmetric positive definite, 420 by 420, 420 entries), Medium test problem -- lumped mass
BCSSTM07 (real symmetric positive semi-definite, 420 by 420, 3836 entries), Medium test problem -- consistent mass
BCSSTM08 (real symmetric positive definite, 1074 by 1074, 1074 entries), TV studio
BCSSTM09 (real symmetric positive definite, 1083 by 1083, 1083 entries), Square plate clamped
BCSSTM10 (real symmetric positive semi-definite, 1086 by 1086, 11589 entries), Buckling of a hot washer
BCSSTM11 (real symmetric positive definite, 1473 by 1473, 1473 entries), Ore car -- lumped mass
BCSSTM12 (real symmetric positive semi-definite, 1473 by 1473, 10566 entries), Ore car -- consistent mass
BCSSTM13 (real symmetric positive semi-definite, 2003 by 2003, 11973 entries), Fluid flow generalized eigenvalues
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